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Finding the Fourth Proportional to 102,996.36, 154,461.06 and 32,859

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Solution

The fourth proportional to 102,996.36, 154,461.06 and 32,859 is: 49,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,996.36 : 154,461.06 = 32,859 : x
  2. Step 2: Convert to fraction form
    102,996.36/154,461.06 = 32,859/x
  3. Step 3: Cross multiply
    102,996.36x = 154,461.06 × 32,859
  4. Step 4: Simplify right side
    102,996.36x = 5,075,435,970.54
  5. Step 5: Solve for x
    x = 5,075,435,970.54/102,996.36
  6. Step 6: Final answer
    x = 49,277.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.